Explanation Given: A bock of mass slides down a frictionless track then around the inside of circular loop-the-loop of radius R . Answer should be a multiple of R . Formula used: Potential energy of a mass at height h is taken as m g h . KE of an object moving with velocity v is 1 2 m v 2 . The centripetal force acting on mass moving with speed v around a circle of radius R is m v 2 R . Calculation: At the highest point of the loop, the minimum velocity ( v ) required such that the mass does not without fall off is such that m v 2 R = m g v 2 = g R . The energy at the bottom of the loop is KE which equals ( KE ) b o t t o m = ( KE ) t o p + ( PE ) t o p ( KE ) b o t t o</

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics, Books a la Carte Edition; Student Workbook for Physics for Scientists ... eText -- ValuePack Access Card (4th Edition)

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Author: Randall D. Knight (Professor Emeritus)

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Question

Chapter 10, Problem 45EAP

To determine

At what minimum height h, the block must start to make it around the loop without falling off?

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Chapter 10, Problem 44EAP

Chapter 10, Problem 46EAP

Chapter 10 Solutions

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics, Books a la Carte Edition; Student Workbook for Physics for Scientists ... eText -- ValuePack Access Card (4th Edition)

Ch. 10 - Prob. 1CQ Ch. 10 - Can kinetic energy ever be negative? Can...Ch. 10 - Prob. 3CQ Ch. 10 - 4. The three balls in FIGURE Q1O.4, which have...Ch. 10 - Rank in order, from most to least, the elastic...Ch. 10 - 6. A spring is compressed 1.0 cm. How far must you...Ch. 10 - Prob. 7CQ Ch. 10 - A particle with the potential energy shown in...Ch. 10 - A compressed spring launches a block up an...Ch. 10 - 10. A process occurs in which a system’s potential...

Ch. 10 - A process occurs in which a system’s potential...Ch. 10 - FIGURE Q10.12 is the energy bar chart for a...Ch. 10 - Prob. 13CQ Ch. 10 - Object A is stationary while objects B and C are...Ch. 10 - Prob. 2EAP Ch. 10 - 3. The lowest point in Death Valley is 85 m below...Ch. 10 - Prob. 4EAP Ch. 10 - Prob. 5EAP Ch. 10 - 6. What height does a frictionless playground...Ch. 10 - 7. A 55 kg skateboarder wants to just make it to...Ch. 10 - Prob. 8EAP Ch. 10 - A pendulum is made by tying a 500 g ball to a...Ch. 10 - A 20 kg child is on a swing that hangs from...Ch. 10 - A 1500 kg car traveling at 10 m/s suddenly runs...Ch. 10 - Prob. 12EAP Ch. 10 - A cannon tilted up at a 30° angle fires a cannon...Ch. 10 - In a hydroelectric dam, water falls 25 m and then...Ch. 10 - How far must you stretch a spring with k = 000 N/m...Ch. 10 - A stretched spring stores 2.0 J of energy. How...Ch. 10 - A student places her 500 g physics book on a...Ch. 10 - A block sliding along a horizontal frictionless...Ch. 10 - A 10 kg runaway grocery cart runs into a spring...Ch. 10 - As a 15,000 kg jet plane lands on an aircraft...Ch. 10 - The elastic energy stored in your tendons can...Ch. 10 - The spring in FIGURE EX10.22a is compressed by ?x....Ch. 10 - The spring in FIGURE EXIO.23a is compressed by ?x....Ch. 10 - FIGURE EX10.24 is the potential-energy diagram for...Ch. 10 - Prob. 25EAP Ch. 10 - In FIGURE EX10.26, what is the maximum speed of a...Ch. 10 - Prob. 27EAP Ch. 10 - FIGURE EX10.28 shows the potential energy of a 500...Ch. 10 - In FIGURE EX10.28, what is the maximum speed a 200...Ch. 10 - A system in which only one particle can move has...Ch. 10 - A system in which only one particle can move has...Ch. 10 - A particle moving along the y-axis is in a system...Ch. 10 - A particle moving along the x-axis is in a system...Ch. 10 - FIGURE EX10.34 shows the potential energy of a...Ch. 10 - A particle moves from A to D in FIGURE EX10.35...Ch. 10 - A force does work on a 50 g particle as the...Ch. 10 - A system loses 400 J of potential energy. In the...Ch. 10 - What is the final kinetic energy of the system for...Ch. 10 - How much work is done by the environment in the...Ch. 10 - A cable with 20.0 N tension pulls straight up on a...Ch. 10 - A very slippery ice cube slides in a vertical...Ch. 10 - A 50 g ice cube can slide up and down a...Ch. 10 - You have been hired to design a spring-launched...Ch. 10 - It’s been a great day of new, frictionless snow....Ch. 10 - Prob. 45EAP Ch. 10 - A 1000 kg safe is 2.0 m above a heavy-duty spring...Ch. 10 - You have a ball of unknown mass, a spring with...Ch. 10 - Sam, whose mass is 75 kg, straps on his skis and...Ch. 10 - A horizontal spring with spring constant 100 N/m...Ch. 10 - Truck brakes can fail if they get too hot. In some...Ch. 10 - Prob. 51EAP Ch. 10 - Use work and energy to find an expression for the...Ch. 10 - Prob. 53EAP Ch. 10 - The spring shown in FIGURE 10.54 is compressed 50...Ch. 10 - Prob. 55EAP Ch. 10 - Prob. 56EAP Ch. 10 - A system has potential energy U(x) = x + sin ((2...Ch. 10 - Prob. 58EAP Ch. 10 - Prob. 59EAP Ch. 10 - Prob. 60EAP Ch. 10 - The potential energy for a particle that can move...Ch. 10 - A particle that can move along the x-axis...Ch. 10 - An object moving in the xy-plane is subjected to...Ch. 10 - An object moving in the xy-plane is subjected to...Ch. 10 - Prob. 65EAP Ch. 10 - In Problems 66 through 68 you are given the...Ch. 10 - Prob. 67EAP Ch. 10 - Prob. 68EAP Ch. 10 - A pendulum is formed from a small ball of mass m...Ch. 10 - Prob. 70EAP Ch. 10 - Prob. 71EAP Ch. 10 - Prob. 72EAP Ch. 10 - The spring in FIGURE CP10.73 has a spring constant...Ch. 10 - A sled starts from rest at the top of the...

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